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• W2473746039 abstract "ABSTRACTWe present a method of combining coupled cell systems to get dynamics supporting robust simple heteroclinic networks given by the product of robust simple heteroclinic networks (cycles). We consider coupled cell networks, with no assumption on symmetry, and combine them via the join operation. Assuming that the dynamics of the component networks supports robust simple heteroclinic cycles or networks, we show that the join dynamics realizes a more complex heteroclinic network given by the product of those cycles or networks. Moreover, the equilibria in the product heteroclinic network correspond to partially synchronous states. Assuming no symmetry for the component coupled cell networks, one of the key points for the existence and robustness of the heteroclinic dynamics is the flow-invariant subspaces forced by the network structure – the synchrony subspaces. The other key point is that the (linear) stability of equilibria in the join dynamics is determined by the (linear) stability of equilibria ..." @default.
• W2473746039 created "2016-07-22" @default.
• W2473746039 creator A5042476867 @default.
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• W2473746039 date "2016-07-04" @default.
• W2473746039 modified "2023-09-24" @default.
• W2473746039 title "Heteroclinic network dynamics on joining coupled cell networks" @default.
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• W2473746039 doi "https://doi.org/10.1080/14689367.2016.1197889" @default.
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